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 未完全匹配句对 SOLUTION OF TIMOSHENKO BEAM BY DUAL INTEGRAL TRANSFORMATION METHOD Timoshenko梁的对偶积分变换解法 A Method of Solving a Kind on Dual Integral Equations Via Decoupling Into Canonical Cauchy Singular Integral Equations 一类对偶积分方程组正则化为Cauchy奇异积分方程组解法 Orthogonal Polynomial Solving Method of General Singular Dual Integral Equations 一般形式的奇异对偶积分方程组正交多项式求解法 A Class of Two-Dimensional Dual Integral Equations and Its Application 一类二维对偶积分方程的解及其应用 By Hankel integral transform, the problem is reduced to a set of dual integral equations which are transformed into a set of singular integral equations. 文中采用Hankel积分变换,将散射问题转化为求解对偶积分方程,进而变换为奇异积分方程组. In this paper,from the definition of Mellin transform we derive it's inversion theorem and solve a dual integral equation by using above result: 本文从梅林变换的定义出发导出其反演定理及基本性质,并用此变换求解对偶积分方程。 The exact analytic solution of a Mode Ⅲ Griffith crack in the material was obtained by using the Fourier transform and dual integral equations theory, and so the displacement and stress fields, the stress intensity factor and strain energy release rate were determined. 通过应用Fourier分析和对偶积分方程理论 ,得到了立方准晶材料Ⅲ型裂纹问题的精确解析解 ,并由此确定了位移与应力场 ,应力强度因子和应变能释放率 . In the present paper,the dual integral equations with complex exponential function are studied based on solving method of copson. 在断裂力学和热弹性动力学中,常常会出现含复指数函数对偶积分方程的求解,此类方程不能直接用Copson-S ih方法求解。 by using the Fourier integral transform and the boundary conditions, the problem is reduced to a dual integral equations. The dynamic stress intensity factors at the crack tip are obtained by the using Copson methods and the numerical integral technique. As an example, the eects of the parameter and the frequency of SH wave on norm dynamic stress intensity factors are discussed. 研究了正交各向异性功能梯度材料中直裂纹对SH波的散射问题,材料两个方向的剪切模量和密度假定为指数模型,通过积分变换-积分方程方法,建立数学模型,化为对偶积分方程,用Copson方法求解对偶积分方程,最后得到动应力强度因子,并且给出了数值算例,讨论了在SH波作用下,裂纹尖端的动应力强度因子与入射波的频率,入射角的关系． ON A FORMAL SOLUTION OF DUAL INTEGRAL EQUATION SYSTEM IN MEASUREMENT OF SEMICONDUCTORS 半导体电磁测量中一个对偶积分方程组的形式解

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